Maths Exam

1. Simplify 1

Simplify the following expression: $$ {\left(2 - -3\right)}^{2} - \left(4 - 2\right)\left(5 + 1\right) $$
Correct Answer
$$ 13$$ or 13.0000

2. Simplify 2

Simplify the following expression: $$ 2\frac{-4}{2} - \frac{3}{5}\left(-2 + 3\right) $$
Correct Answer
$$ \frac{-23}{5}$$ or -4.60000

3. Fractions 1

Simplify the following expression: $$ \frac{4}{3} + \frac{-5}{4} $$
Correct Answer
$$ \frac{1}{12}$$ or 0.08333333333333326

4. Fractions 2

Simplify the following expression: $$ \frac{\frac{-4}{6}}{\frac{5}{2}} $$
Correct Answer
$$ \frac{-4}{15}$$ or -0.26666666666666666

5. Significant figures

1. Write the following to 5 significant figures: 0.063848719
Correct Answer
0.063849 or $$6.3849\times10^{-2}$$
2. Write the following to 2 significant figures: 22.726323
Correct Answer
23 or $$2.3\times10^{1}$$

6. Standard Form

1. Write the following in standard form to 3 significant digits: 1919.36
Correct Answer
$$1.92\times10^{3}$$
2. Write the following in standard form to 3 significant digits: 45.0793
Correct Answer
$$4.51\times10^{1}$$

7. Significant figures

1. Write the following in preferred standard form to 4 significant digits: 9290.8
Correct Answer
$$9.291\times10^{3}$$
2. Write the following in preferred standard form to 4 significant digits: 0.000000072807
Correct Answer
$$72.81\times10^{-9}$$

8. Simplify 2

Simplify the following expression: $$ \left(-1 - -2\right)\frac{3}{1} - 2(-5)(-3) $$
Correct Answer
$$ -27$$ or -27.0000

9. Simplify 1

Simplify the following expression: $$ 2\times4\times6\left(-4 + 3 - \left(4 + 2\right)\right) $$
Correct Answer
$$ -336$$ or -336.000

10. Simplify 2

Simplify the following expression: $$ \frac{3 - 4}{-4 - -5} - {\left(2 + -5\right)}^{2} $$
Correct Answer
$$ -10$$ or -10.0000


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